40551552000 has 264 divisors, whose sum is σ = 146134625832. Its totient is φ = 10813440000.

The previous prime is 40551551947. The next prime is 40551552023. The reversal of 40551552000 is 25515504.

40551552000 is a `hidden beast` number, since 40 + 551 + 55 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1214383104 + 39337168896 = 34848^2 + 198336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134400 + ... + 1169600.

Almost surely, 2^40551552000 is an apocalyptic number.

40551552000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40551552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73067312916).

40551552000 is an abundant number, since it is smaller than the sum of its proper divisors (105583073832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40551552000 is a wasteful number, since it uses less digits than its factorization.

40551552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35242 (or 35211 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The spelling of 40551552000 in words is "forty billion, five hundred fifty-one million, five hundred fifty-two thousand".